Calculate the length of an arc of a circle diameter 14 cm, which substends an angle of 90∘ ∘ at the center of the circle

Answer Details

The length of an arc of a circle can be calculated using the formula L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the central angle subtended by the arc (in radians). In this case, the diameter of the circle is 14 cm, so the radius is half of that, which is 7 cm. The central angle subtended by the arc is 90 degrees, or π/2 radians. Plugging in the values, we get L = 7 × π/2 = 7π/2 cm. Therefore, the length of the arc is 7π/2 cm. So, the correct option is  7π/2 cm.